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Lecture 19

Lecture 19. CSE 331 Oct 12, 2016. Mid-term-I Monday. In class. 1:00pm-1:50pm sharp. Eight True/False with justification Qs. Questions?. Analyzing the algorithm. R : set of requests. A* has no conflicts. Set A to be the empty set. While R is not empty.

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Lecture 19

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  1. Lecture 19 CSE 331 Oct 12, 2016

  2. Mid-term-I Monday In class 1:00pm-1:50pm sharp Eight True/False with justification Qs

  3. Questions?

  4. Analyzing the algorithm R: set of requests A* has no conflicts Set A to be the empty set While R is not empty Choose i in R with the earliest finish time A* is an optimal solution Add i to A Remove all requests that conflict with i from R Return A* = A

  5. Algorithm implementation Go through the intervals in order of their finish time 3 How can you tell in O(1) time if any of 2,3 or 4 conflict with 1? Check if s[i] < f(1) 2 1 4 O(n log n) run time In general, if jth interval is the last one chosen Pick smallest i>j such that s[i] ≥ f(j)

  6. The final algo O(n log n) time sort intervals such that f(i) ≤ f(i+1) O(n) time build array s[1..n]s.t. s[i] = start time for i Add 1 to A and set f = f(1) For i = 2 .. n If s[i] ≥ f Add i to A Set f = f(i) Return A* = A

  7. Reading Assignment Sec 4.1of [KT]

  8. Questions?

  9. The “real” end of Semester blues There are deadlines and durations of tasks Write up a term paper Party! Exam study 331 HW Project Monday Tuesday Wednesday Thursday Friday

  10. The “real” end of Semester blues There are deadlines and durations of tasks Write up a term paper Exam study Party! 331 HW Project Monday Tuesday Wednesday Thursday Friday

  11. The algorithmic task YOU decide when to start each task Write up a term paper Exam study You have to do ALL the tasks Party! 331 HW Project Monday Tuesday Wednesday Thursday Friday

  12. Scheduling to minimize lateness All the tasks have to be scheduled GOAL: minimize maximum lateness Write up a term paper Exam study Party! 331 HW Project Monday Tuesday Wednesday Thursday Friday

  13. One possible schedule All the tasks have to be scheduled GOAL: minimize maximum lateness Lateness = 0 Lateness = 2 Exam study Party! 331 HW Write up a term paper Monday Tuesday Wednesday Thursday Friday

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